Finding elementary first integrals for rational second order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Ju l 2 00 5 Finding Elementary First Integrals for Rational Second Order Ordinary Differential Equations
Here we present an algorithm to find elementary first integrals of rational second order ordinary differential equations (SOODEs). In [17], we have presented the first algorithmic way to deal with SOODEs, introducing the basis for the present work. In [18], the authors used these results and developed a method to deal with SOODEs and a classification of those. Our present algorithm is based on ...
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A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations a,b Abstract Here we present a method to find elementary first integrals of rational second order ordinary differential equations (SOODEs) based on a Darboux type procedure [16, 12, 13]. Apart from practical computational considerations, the method will be capable of telling us (u...
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2. General Remarks Second order ODEs are much harder to solve than first order ODEs. First of all, a second order linear ODE has two linearly independent solutions and a general solution is a linear combination of these two solutions. In addition, many popular second order ODEs have singular points. Except for a few cases, the solutions have no simple mathematical expression. However, there is ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2009
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3050281